Atkin-Lehner |
5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17545j |
Isogeny class |
Conductor |
17545 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
97131367953125 = 56 · 118 · 29 |
Discriminant |
Eigenvalues |
0 -2 5- -1 11- 5 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11535,-54411] |
[a1,a2,a3,a4,a6] |
Generators |
[111:212:1] |
Generators of the group modulo torsion |
j |
791904256/453125 |
j-invariant |
L |
2.9140937576743 |
L(r)(E,1)/r! |
Ω |
0.49930748330717 |
Real period |
R |
2.9181354727279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87725a1 17545m1 |
Quadratic twists by: 5 -11 |